Abstract : The Chebychev (also Minimax and L to infinity Norm) criterion has been widely studied as a method for curve fitting. Published computer codes are available to obtain the optimal parameter estimates to fit a linear function to a set of given points under the Chebychev criterion. The purpose of this paper is to study procedures for obtaining the best subset of k parameters from a given set of m parameters where k is less-than-or-equal-to m. (Author)